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Finding the Third Proportional to 71,414.16 and 153,581.06

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Solution

The third proportional to 71,414.16 and 153,581.06 is: 330,286.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,414.16 : 153,581.06 = 153,581.06 : x
  2. Step 2: Convert to fraction form
    71,414.16/153,581.06 = 153,581.06/x
  3. Step 3: Cross multiply
    71,414.16x = 153,581.06 × 153,581.06
  4. Step 4: Simplify right side
    71,414.16x = 23,587,142,758.63
  5. Step 5: Solve for x
    x = 23,587,142,758.63/71,414.16
  6. Step 6: Final answer
    x = 330,286.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.